# How do you solve x + y = -1 and 6x – 2y = 18?

##### 2 Answers

See a solution process below:

#### Explanation:

**Step 1)** Solve the first equation for

**Step 2)** Substitute

**Step 3)** Substitute

**The Solution Is:**

or

Solve algebraically or by graphing the equations.

#### Explanation:

#x + y = -1 #

#6x - 2y = 18# #6x + 6y = -6#

#6x - 2y = 18#

Multiply each side of one or both equations by a constant so that one variable (in this case#x# ) in both equations has the same coefficient (in this case#6# ).#6x + 6y = -6#

#-(6x - 2y = 18)#

Subtract the second equation from the first using the distributive property#[ a (b + c) = ab + ac]# .#8y = -24#

#y = -3#

Simplify and solve for#y# by dividing both sides by#8# .#x + (-3) = -1#

Plug#-3# in for y in one or both equations (the answer should be the same).#x = 2#

Solve for#x# (add#3# to both sides).#x = 2#

#y = -3#

State the answer as#x# and#y# values or as a coordinate#(2, -3)# when graphing the equations.